step involved in catalytic reaction - copy
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Step Involved in
Catalytic Reaction
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1. Mass transfer (diusion of the reactants) (e.g.. species A) fro
"uid to the e#ternal surface of the catalyst pellet.
$. %iusion of the reactant from the pore mouth through the ca
to the intermediate vicinity of the internal catalytic surface.
&. Adsorption of reactant A onto the catalyst surface.
'. Reaction on the surface of the catalyst (e.g. A )
. %esorption of the products (e.g. ) from the surface.
*. %iusion of the products from the interior of the pellet to the
at the e#ternal surface.
+. Mass transfer of the products from the e#ternal pellet surface
"uid.
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Steps in heterogeneous catalytic rea
Reaction ta!esplace on thesurface, ut thespecies involved inreaction must get toand from thesurface
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-he overall rate of reaction is eual to the rate of the
step in the mechanism.
0hen the difusion steps (1,$,*, and +) are very a
compared /ith the reaction steps (&, '. and ), the
concentrations in the immediate vicinity of the active
indistinguishablefrom those in the ul! "uid. In thi
the transport or difusion steps do not afectthe o
of the reaction.
Reaction steps are very ast compared /ith the di
steps, mass transport does afectthe reaction rate
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Step I vervie/2 %iusion from thul! to the 3#ternal -ransport
ul! concentration CAmust travel through the oundary layer o
thic!ness 4 to the e#ternal surface of the pellet /here the concenis CASas sho/n in 5igure. Rate of transfer2
6c2 mass transfer coe7cient
Rate
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Low Velocitiesoundary layer is thick9ong time for A to travel to the surfaceSmall mass transfer coe7cient !c.
Mass transfer across the oundary layer is slo/
and limits the rate of the overall reaction.
Very high velocitiesoundary layer is so smoers any resistance toacross the oundary la3#ternal mass transfer
rate of reaction.
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3#ternal resistance also decreases as the particle si:e is d
As the "uid velocity increases and;or the particle diametethe mass transfer coe7cient increases until a plateau is r
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Step $ vervie/2 Internal %iusio
As Adiuses into the interior of the pellet, it reacts /ith catalysthe sides of pore /alls.
5or large pellets, it ta!es a long time for the reactant A to diuscompared to the time it ta!es for the reaction to occur on the insurface.
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A model system is proposed and then the isotherm ota
from the model is compared /ith the e#perimental data
on the curve.
If the curve predicted y the model agrees /ith the
e#perimental one, the model may reasonaly descrie /
occurring physically in the real system.
If the predicted curve does not agree /ith data otained
e#perimentally, the model fails to match the physical sit
at least one important characteristic and perhaps more.
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Adsorption Isotherms
Isotherms portray the amount of a gas adsored n a solidpressures ut at one temperature.
A physical phenomena
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Adsorption Isotherms
S 2 an active site= alone it /ill denote a vacant site,
-he comination of S /ith another 9etter (e.g., A.S) /ill meunit of species A /ill e adsored on the site S.
-he adsorption of A on a site S is represented y
total molar concentration of active per unit mass of catalyst is eual tonumer of active sites per unit masdivided by Avogadro's numbera
e laelled C, (mol;g .cat).
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Asence of catalyst deactivation2 total concentration of actremains constant.
?i partial pressure of species i in the gas phase. atm or !?
Ci.s surface concentration of sites occupied y species i, rno
A conceptual mode depicting species A and ! on two
5or the system sho/n, the total concentration of sites is
"it
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Adsorption of caron mono#idemetal surfaces
molecular or non#dissociated adsorption
dissociat
C @ S C @$S
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Adsorption o carbon mono$idemolecules
C @ S
rate o attachment of the caronmono#ide molecules to the activesite on the surface
proportionalnumber o comolecules maactive site pe
a specic fraction of the molecules t
stri!e the surface ecome adsored Caron mono#ide partial pressure, ?co Concentration of vacant sites, Cv
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%etachment of caron mono#ide molecules from the surface isdirectly proportional to the concentration of sites occupied y thadsored molecules
-he netrate o adsorption is eual to the rate of molecular atsurface minus the rate of detachment from the surface.
B
adsorption
con
B ) (
(
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ecause caron mono#ide is the only material adsored on thecatalyst the site alance gives
(
At euilirium, the net rate of adsorption euals to :ero from eu
(
5rom euation *
Rearranging
adsorpt
9angm
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9angmuirBDinshel/ood (9D) mechani
-he adsored species are held onto denite points of attac
surface. 3ach site can accommodate only one adsored sp
-he surface is completely uniform so that there is the sam
of adsorption on all sites. Attractive or repulsive forces et
adEacent adsored molecules are ta!en to e negligile.
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Amount of C adsored per unit mass of catalyfunction of the partial pressure of C
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Isotherm for caron mono#ideadsored as atoms (
)
%issociative ads
C @$S
5or a molecule to dissociate as it adsored, t/o adEacent vacaactive sites are reuired rather than the sing site needed /hesustance adsors in its molecular form
?roaility of t/o vacant sites occurring adEacent to one anotis proportional to the suare of the concentration of vacant si
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5or desorption to occur, t/o occupied sites must e adEacen
B
5actoring out !A, the euation for dissociative adsorption
B )
9anisotadsato
?lease /ritedo/n thesteps FFF
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0hen more than one sustance present
Dome AssignmentFFFFFF
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"uraceReaction-he rate of adsorption of species A onto a solid surface,
A @ S
B )
After a reactant has een adsored onto the surface, it is caof reacting in a numer of /ays to form the reaction produc
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Reaction &echanism
"ingle site2 only the site on /hich the reactant is adso
involved
%ual site2 adsored reactant interacts /ith another sit
reaction et/een two adsorbed species
reaction of t/o species adsored on diferen
sites
ley#Rideal( the reaction et/een an adsored molecu
molecule in the gas phase
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"ingle site
only the site on /hich the reactant is adsored is involve
an adsored molecule of A may isomeri:e (or perhaps deco
directly on the site to /hich it is attached.
A.S
ecause in each step the reaction mechanism is elementary, surface reaction rate la/ is
B )
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%ual site
adsored reactant interacts /ith another site (either unoc
occupied) to form the product
A.S @ S
B )
corresponding surface reaction rate la/
dehydration of butanol
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%ual site
Reaction et/een t/o adsored species
A.S @ .S
surface reaction rate la/
B )
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the reaction of t/o species adsored on dierent types of
%ual site
A.SG @ .S
surface reaction rate la/
B )
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the reaction et/een an adsored molecule and a molecuphase.
ley#Rideal
A.S @ (g)
B )
surface reaction rate la/
propylene and en:ene
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%esorption
the products of the surface reaction adsored on the surfasuseuently desored into the gas phase
C . S
-he rate of desorption ofC
B )
6%Cis the desorption euilirium constant
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-he RateB9imiting Step
0hen heterogeneous reactions are carried out at steady stof each of the three reaction steps in series (adsorption, suand desorption) are eual to one another.
ne particular step in the series is usually found to e rarerateBcontrolling.
if /e could ma!e this particular step go faster, the entire rproceed at an accelerated rate.
In /riting this seuence. one must choose amomechanisms as molecular or atomic adsorptionor dualBsite reaction. He#t, rate Ia/s are /ritten
individual steps as sho/n in the preceding sect
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synthesis of ammonia from hydand nitrogen (adsorptionBlimited)
Rapid
Rapid
Rate 9
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-/o no#ious automoile e#haustproducts C and H(SurfaceBlimiting )
Rapid
Rapid
Rate9imiti
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Synthesi:ing a Rate 9a/, Mechand RateB9imiting Step
decomposition of cumene to form en:ene and propylene
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Steps in 9angmuirBDinshel/ood6inetic Mechanism
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Rate of adsorption of cumene
Surface reaction2 Adsored en:ene and propylene in gas pha
rate of en:ene desorptian
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%esorption is Eust the reverse of the adsorption ofen:ene
Rate of desorption may e /ritten as2
ecause there is no accumulation of reacting species on the
surface
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y assuming that this (or any other) srateBlimiting, /e are considering that
reaction rate constant of this step (in
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Is the Adsorption of Cumene Rate9imitingF
5or adsorption limited reactions, !Ais small and !Sand !%are
Conseuently, the ratios rS;!Sand r%;!%are very small (appro#
:ero), /hereas he ratio rA%;!Ais relatively large.
)eed to e$press *V+ and **+"in terms o ,*+ ,!and
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Surface reaction rate la/ (&
5or adsorptionBlimited reactions the surface specic reaction rat
large y comparison
(&$)(&
5or adsorptionBlimited reactions, !%is large y comparison
(&') (
(y (&&) (&)
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Replacing CC.Sin the rate euation y 3uation (&*) and then facto
y setting rA%K L, the term (6S6C;6) is simply the overall partial p
euilirium constant, 6?for the reaction
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Cv, can e eliminated from 3uation (&+) y utili:ing the site alan
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Cumene reaction rate la/ if adsorption /ere the limitingstep
Ho propresen
??K ?rate is
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Is the "urace Reaction Rate#Lim
rate of surface reaction
kAand kD, are very large y comparison /ith !S
rA%;!AK L K r%;!% and site alance
Initial rate
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Initial rate
At lo/ pressure
At highpressure
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Is the desorption Rate#Limiting-
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Actual initial rate as a function of partial pressure of cumene
Surface limited reaction mechanism is consistene#perimental data
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If /e /ere to have an adsoring inert in the feed
Inert /ould not participate in the reaction ut /ould occupythe catalyst surface
Rate la/ 5or surface reaction control /hen an adsoring ine